Remarks on bipolar cubic fuzzy graphs and its chemical applications

Juanjuan Lu; Linli Zhu; Wei Gao

doi:10.2478/ijmce-2023-0001

.blurhash-client-img { display: none !important; }

Remarks on bipolar cubic fuzzy graphs and its chemical applications

International Journal of Mathematics and Computer in Engineering

Volume 1 (2023): Issue 1 (June 2023)

By: Juanjuan Lu, Linli Zhu and Wei Gao

Open Access

|Mar 2023

Abstract

In theoretical chemistry, fuzzy molecular graphs can be used to model chemical molecular structures with uncertainty information, where the vertex membership function and edge membership function describe the uncertainty of atoms and chemical bonds respectively. This paper studies chemical topological index of bipolar cubic fuzzy graphs. The new concepts and theorems are given in terms of graph theory and fuzzy set theory approaches and several theoretical conclusions on bipolar Wiener index of bipolar cubic fuzzy graphs are determined. Furthermore, we apply it in chemical science and calculate the bipolar Wiener index of dimethyltryptamine and hallucinogen which are modelled by bipolar cubic fuzzy graphs.

References

Gao W., Wang W., Zheng L., Fuzzy fractional factors in fuzzy graphs, International Journal of Intelligent Systems, 37(11), 9886-9903, 2022.
Search in Google Scholar Back to article
Perumal P., Document clustering using graph based fuzzy association rule generation, Computer Systems Science and Engineering, 43(1), 203-218, 2022.
Search in Google Scholar Back to article
Ullah K., Hussain A., Mahmood T., Ali A., Alabrah A., Rahman, S.M., Complex q-rung orthopair fuzzy competition graphs and their applications, Electronic Research Archive, 30(4), 1558-1605, 2022.
Search in Google Scholar Back to article
Gayathri G., Mathew S., Mordeson J.N., Fuzzy influence graphs with applications, Fuzzy Sets and Systems, 450, 1-26, 2022.
Search in Google Scholar Back to article
Nie F., Liu C., Wang R., Wang Z., Li X., Fast fuzzy clustering based on anchor graph, IEEE Transactions on Fuzzy Systems, 30(7), 2375-2387, 2022.
Search in Google Scholar Back to article
Binu M., Mathew S., Mordeson J.N., Cyclic connectivity status of fuzzy graphs, IEEE Transactions on Fuzzy Systems, 30(12), 5526-5533, 2022.
Search in Google Scholar Back to article
Gao W., Butt S.I., Numan M., Aslam A., Malik Z., Waqas M., Omega and the related counting polynomials of some chemical structures, Open Chemistry, 18, 1167-1172, 2020.
Search in Google Scholar Back to article
Lu J., Zhu L., Gao W., Cyclic connectivity index of bipolar fuzzy incidence graph, Open Chemistry, 20, 331-341, 2022.
Search in Google Scholar Back to article
Czabarka E., Olsen T.V., Smith S.J., Szekely L., Minimum Wiener index of triangulations and quadrangulations, Discrete Applied Mathematics, 322, 295-310, 2022.
Search in Google Scholar Back to article
Kathiresan K., Parameswaran C., Wiener index of generalized odd complete graphs, Indian Journal of Pure and Applied Mathematics, 53(2), 301-303, 2022.
Search in Google Scholar Back to article
Asir T., Rabikka V., The Wiener index of the zero-divisor graph of Z_n, Discrete Applied Mathematics, 319, 461-471, 2022.
Search in Google Scholar Back to article
Asir T., Rabikka V., Su H., On Wiener index of unit graph associated with a commutative ring, Algebra Colloquium, 29(2), 221-230, 2022.
Search in Google Scholar Back to article
Pandey D., Patra K.L., Wiener index of graphs with fixed number of pendant or cut-vertices, Czechoslovak Mathematical Journal, 72(2), 411-431, 2022.
Search in Google Scholar Back to article
Zhang W., Meng J., Wu B., The upper bounds on the Steiner k-Wiener index in terms of minimum and maximum degrees, Journal of Combinatorial Optimization, 44(2), 1199-1220, 2022.
Search in Google Scholar Back to article
Dobrynin A.A., Wiener index of families of unicyclic graphs obtained from a tree, Match-communications In Mathematical and In Computer Chemistry, 88(2), 461-470, 2022.
Search in Google Scholar Back to article
Umar M., Sabir Z., Imran A., Wahab H.A., Shoaib M., Raja M.A.Z., The 3-D flow of Casson nanofluid over a stretched sheet with chemical reactions velocity slip, thermal radiation and Brownian motion, Thermal Science, 24(5), 2929-2939, 2020.
Search in Google Scholar Back to article
Ayub A., Sabir Z., Le D.N., Aly A.A., Nanoscale heat and mass transport of magnetized 3-D chemically radiative hybrid nanofluid with orthogonal/inclined magnetic field along rotating sheet, Case Studies in Thermal Engineering, 26, 101193, 2021.
Search in Google Scholar Back to article
Sabir Z., Akhtar R., Zhu Z.Y., Umar M., Imran A., Wahab H.A., Shoaib M., Raja M.A.Z., A computational analysis of two-phase casson nanofluid passing a stretching sheet using chemical reactions and gyrotactic microorganisms, Mathematical Problems in Engineering, 1490571, 2019.
Search in Google Scholar Back to article
Ayub A., Wahab H.A., Sabir Z., Arbi A., A note on heat transport with aspect of magnetic dipole and higher order chemical process for steady micropolar fluid, Computational Overview of Fluid Structure Interaction, 2020.
Search in Google Scholar Back to article
Shah S.Z.H., Wahab H.A., Ayub A., Sabir Z., Haider A., Shah S.L., Higher order chemical process with heat transport of magnetized cross nanofluid over wedge geometry, Heat Transfer, 50(4), 3196-3219, 2021.
Search in Google Scholar Back to article
Shah S.L., Ayub A., Dehraj S., Wahab H.A., Sagayam K.M., Ali M.R., Sadat R., Sabir Z., Magnetic dipole aspect of binary chemical reactive Cross nanofluid and heat transport over composite cylindrical panels, Waves in Random and Complex Media, 2022.
Search in Google Scholar Back to article
Sabir Z., Wahab H.A., Ali M.R., Sadat R., Neuron analysis of the two-point singular boundary value problems arising in the thermal explosion’s theory, Neural Processing Letters, 54(5), 4297-4324, 2022.
Search in Google Scholar Back to article
Sabir Z., Ben S.S., Heuristic computing for the novel singular third order perturbed delay differential model arising in thermal explosion theory, Arabian Journal of Chemistry, 16(3), 104509, 2023.
Search in Google Scholar Back to article
Sabir Z., Neuron analysis through the swarming procedures for the singular two-point boundary value problems arising in the theory of thermal explosion, European Physical Journal Plus, 137(5), 638, 2022.
Search in Google Scholar Back to article
Shi X., Akhoundi M., Talebi A.A., Sadati S.H., Some properties of cubic fuzzy graphs with an application, Symmetry, 14, 2623, 2022.
Search in Google Scholar Back to article